O′N

L_{3}(7) ≤ L_{3}(7).2 245520 {1a + 10944a + 26752a + 32395a + 37696a \atop + 52668a + 85064a} 7

Character Numbers: [ 1, 2, 7, 8, 10, 11, 18 ]

L_{3}(7) ≤ L_{3}(7).2 245520 {1a + 10944a + 26752a + 32395b + 37696a \atop + 52668a + 85064a} 7

Character Numbers: [ 1, 2, 7, 9, 10, 11, 18 ]

S_{1} S_{2}  S_{3}  S_{4}  S_{5}  S_{6}  S_{7}
χ_{1} 1 1 11172 12768 52136 52136 117306
χ_{2} 1 1 392 −212 161 161 −504
χ_{3} 1 1 −42 222 161 161 −504
χ_{4} 1 1  84  96 −280 −280  378
χ_{5} 1 −1  0  0 −343 343  0
χ_{6} 1 1 −112 −128  56  56  126
χ_{7} 1 −1  0  0 152 −152  0

Ramanujan Graphs: [ 2, 3, 4 ], [ 2, 3, 4, 5 ], [ 2, 3, 4, 5, 6 ], [ 2, 3, 4, 5, 6, 7 ], [ 2, 3, 4, 5, 7 ], [ 2, 3, 4, 6 ], [ 2, 3, 4, 6, 7 ], [ 2, 3, 4, 7 ], [ 2, 3, 5, 6, 7 ], [ 2, 3, 5, 7 ], [ 2, 3, 6, 7 ], [ 2, 3, 7 ], [ 2, 4 ], [ 2, 4, 5 ], [ 2, 4, 5, 6 ], [ 2, 4, 5, 6, 7 ], [ 2, 4, 5, 7 ], [ 2, 4, 6 ], [ 2, 4, 6, 7 ], [ 2, 4, 7 ], [ 2, 5 ], [ 2, 5, 6 ], [ 2, 5, 6, 7 ], [ 2, 5, 7 ], [ 2, 6 ], [ 2, 6, 7 ], [ 2, 7 ], [ 3, 4 ], [ 3, 4, 5 ], [ 3, 4, 5, 6 ], [ 3, 4, 5, 6, 7 ], [ 3, 4, 5, 7 ], [ 3, 4, 6 ], [ 3, 4, 6, 7 ], [ 3, 4, 7 ], [ 3, 5, 6, 7 ], [ 3, 5, 7 ], [ 3, 6, 7 ], [ 3, 7 ], [ 4 ], [ 4, 5 ], [ 4, 5, 6 ], [ 4, 5, 6, 7 ], [ 4, 5, 7 ], [ 4, 6 ], [ 4, 6, 7 ], [ 4, 7 ], [ 5 ], [ 5, 6 ], [ 5, 6, 7 ], [ 5, 7 ], [ 6 ], [ 6, 7 ], [ 7 ]